Staying Cool Let 7 (x, y) be the temperature in a 10 ft x 10ft room on a winter night, where one comer of the room is at (0, 0) and the opposite comer is at (10, 10). For each of the following functions T, (a) Draw a graph of the temperature function. (b) Describe the likely floor locations of the heat vents. (c) Suppose you like to sleep with a temperature of 70° or less. Where would you put the bed? 1. 7 (r, y) = 78 – [x² + (v – 5y°]

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Advance Calculus

Staying Cool
Let T (x, y) be the temperature in a 10 ft x 10 ft room on a winter night, where one corner of the room is at
(0, 0) and the opposite corner is at (10, 10). For each of the following functions T,
(a) Draw a graph of the temperature function.
(b) Describe the likely floor locations of the heat vents.
(c) Suppose you like to sleep with a temperature of 70° or less. Where would you put the bed?
1. T (x, y) = 78 – to (x? + v – 5)²]
2. T (x, y) = x – y + 75
Transcribed Image Text:Staying Cool Let T (x, y) be the temperature in a 10 ft x 10 ft room on a winter night, where one corner of the room is at (0, 0) and the opposite corner is at (10, 10). For each of the following functions T, (a) Draw a graph of the temperature function. (b) Describe the likely floor locations of the heat vents. (c) Suppose you like to sleep with a temperature of 70° or less. Where would you put the bed? 1. T (x, y) = 78 – to (x? + v – 5)²] 2. T (x, y) = x – y + 75
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